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99315603945600 = 27352759310212441
BaseRepresentation
bin10110100101001110110111…
…010010110011100010000000
3111000122110221012101200211220
4112211032313102303202000
5101004141324102224400
6551120543020035040
726630213151516420
oct2645166722634200
9430573835350756
1099315603945600
1129710569302899
12b180042992a80
1343555626a2813
141a74c88024480
15b736605787a0
hex5a53b74b3880

99315603945600 has 768 divisors, whose sum is σ = 375003095765760. Its totient is φ = 22630957056000.

The previous prime is 99315603945589. The next prime is 99315603945653. The reversal of 99315603945600 is 654930651399.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40686440380 + ... + 40686442820.

It is an arithmetic number, because the mean of its divisors is an integer number (488285280945).

Almost surely, 299315603945600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99315603945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187501547882880).

99315603945600 is an abundant number, since it is smaller than the sum of its proper divisors (275687491820160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99315603945600 is a wasteful number, since it uses less digits than its factorization.

99315603945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 60.

The spelling of 99315603945600 in words is "ninety-nine trillion, three hundred fifteen billion, six hundred three million, nine hundred forty-five thousand, six hundred".